MAT 152 Stanly Community College Chapter 7 The Significance of A Kiss Lab Report

MAT 152(Section 7.1 – 7.4)
Chapter 7 Lab (B) The Significance of a Kiss
In order to compete this lab, you will need to print this document, review it and watch the video in Canvas.
Once you have completed the lab, please answer the corresponding questions in Canvas in the “Chapter 7
Lab Answer Entry Sheet” located in Chapter 7. You must complete the “Answer Entry Sheet” in order to
receive a grade for this assignment, otherwise your grade will be 0.
This activity is intended to illustrate properties of hypothesis testing and to describe how to perform
hypothesis tests on a proportion. Please watch the video for instructions on how to proceed.
Data Table:
Toss
Number
Number of Candies
Landing Completely on Base
1
2
3
4
5
Total
1
We treat the 50 results for each student as 50 independent trials. (Actually, each student has ten
independent trials of 5 tosses each. We make the assumption that the 10 tosses within a trial are
roughly independent to expedite data collection). Therefore, n = 50 and x is the total number of
candies that landed completely on their base.
Questions
1.
Using your data from 50 tosses, test the claim that the population proportion of Kisses®
chocolates that land completely on the base is 50% at α = 10% level of significance.
a. State the null and alternate hypotheses. Identify the claim.
b. State the level of significance.
c. Determine the standardized test statistic. (2 decimal places)
d. Calculate the P-value. (4 decimal places)
e. Make a decision to “reject the 𝐻0 ” or “fail to reject the 𝐻0 ”.
f. Interpret the decision in the context of the original claim.
2.
Using your same data again from your 50 tosses, test the claim that the population proportion
of Kisses® chocolates that land completely on the base is 40% at α = 10% level of significance.
a. State the null and alternate hypotheses. Identify the claim.
b. State the level of significance.
c. Determine the standardized test statistic. (2 decimal places)
d. Calculate the P-value. (4 decimal places)
e. Make a decision to “reject the 𝐻0 ” or “fail to reject the 𝐻0 ”.
f. Interpret the decision in the context of the original claim.
3.
Will your decision in problem #2 change if you test at α = 5% level of significance?
4. Using your same data again from your 50 tosses, test the claim that the population proportion
of Kisses® chocolates that land completely on the base is less than 35% at α = 5% level of
significance.
a. State the null and alternate hypotheses. Identify the claim.
b. State the level of significance.
c. Determine the standardized test statistic. (2 decimal places)
d. Calculate the P-value. (4 decimal places)
e. Make a decision to “reject the 𝐻0 ” or “fail to reject the 𝐻0 ”.
f. Interpret the decision in the context of the original claim.
5. Will your decision in problem #4 change if you test at α = 10% level of significance?
Please take a few minutes to enter your answers to the questions above in the “Chapter 7 Answer Entry
Sheet” in Canvas under Chapter 7.
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